2006.115: Classifying thick subcategories of perfect complexes
2006.115: Grigory Garkusha and Mike Prest (2006) Classifying thick subcategories of perfect complexes.
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Abstract
Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes D_{per}(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of (iso-classes for) indecomposable injective modules are essentially used.
| Item Type: | MIMS Preprint |
|---|---|
| Subjects: | MSC 2000 > 03 Mathematical logic and foundations MSC 2000 > 13 Commutative rings and algebras MSC 2000 > 55 Algebraic topology |
| MIMS number: | 2006.115 |
| Deposited By: | Professor Mike Prest |
| Deposited On: | 22 May 2006 |
Available Versions of this Item
- Classifying Serre subcategories of finitely presented modules (deposited 25 August 2006)
- Classifying thick subcategories of perfect complexes (deposited 22 May 2006) [Currently Displayed]
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